Dimensionally Regulated Graviton Self-Energy from Gravitons on de Sitter
Abstract
The graviton self-energy −i [μν Σρσ](x;x') is the 1PI 2-point function of quantum gravity. It can be used to quantum-correct the linearized Einstein equation in order to infer quantum corrections to gravitational radiation and to the force of gravity. As long as the two points are non-coincident, the graviton self-energy does not need regularization at 1-loop order, however, solving the 1-loop effective field equations requires integrating [μν Σρσ](x;x') over x'μ, including x'μ = xμ. To facilitate this we employ dimensional regularization and BPHZ renormalization to compute the 1-loop contribution to the graviton self-energy, in pure quantum gravity, on de Sitter background, in the simplest gauge. We then solve the effective field equations to derive 1-loop corrections to the plane wave mode functions of gravitational radiation, and to the Newtonian potential. Although it seems possible to renormalize in such a way that the mode function shows no secular growth, the Newtonian potential grows like the third power of the number of e-foldings.
Related
- Massive scalar's self-mass from gravitons in de Sitter
- Squeezed Gravitons and One-Loop Self-Energy under Light-Cone Smearing
- Graviton energy spectrum arising from the KSVZ axion model
- Conformal Anomalies and Generalised Energy Conservation in De Sitter Spacetime
- AdS - de Sitter transition in interacting dark energy models
BibTeX
@misc{yesilyurt2026dimensionally,
title = {{Dimensionally Regulated Graviton Self-Energy from Gravitons on de Sitter}},
author = {B. Yesilyurt and N. C. Tsamis and R. P. Woodard},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.02120},
eprint = {2611.02120},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.02120},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dimensionally Regulated Graviton Self-Energy from Gravitons on de Sitter
AU - B. Yesilyurt
AU - N. C. Tsamis
AU - R. P. Woodard
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.02120
UR - https://arxiv.org/abs/2611.02120
AB - The graviton self-energy −i [^μν Σ^ρσ](x;x') is the 1PI 2-point function of quantum gravity. It can be used to quantum-correct the linearized Einstein equation in order to infer quantum corrections to gravitational radiation and to the force of gravity. As long as the two points are non-coincident, the graviton self-energy does not need regularization at 1-loop order, however, solving the 1-loop effective field equations requires integrating [^μν Σ^ρσ](x;x') over x'^μ, including x'^μ = x^μ. To facilitate this we employ dimensional regularization and BPHZ renormalization to compute the 1-loop contribution to the graviton self-energy, in pure quantum gravity, on de Sitter background, in the simplest gauge. We then solve the effective field equations to derive 1-loop corrections to the plane wave mode functions of gravitational radiation, and to the Newtonian potential. Although it seems possible to renormalize in such a way that the mode function shows no secular growth, the Newtonian potential grows like the third power of the number of e-foldings.
ER -